简介：Inthispaper,wegiveanorder-preserving,isometricandisomorphicembeddingoperatorfromthefuzzynumberspaceE~1toaclassicalBanachspaceandshowsomenecessaryandsufficientintegrabilityconditionsoffuzzyintegralswhichweredefinedbyM.MatlokaandO.Kalevabymeansofsuchanoperator.

简介：Theanalytichierarchyprocess(AHP)isusedwidelyforanalyzingdecisionsmadeinvariousreal-worldapplications.Itsbasicideaistoconstructahierarchyofconceptsencounteredinagivendecisionproblemandtochoosethebestalternativeaccordingtopairwisecomparisonmatricesgivenbythedecisionmaker.Undertheassumptionoffullyrationaleconomics,areasonabledecisionshouldbeconsistent.Itbecomesanimportantissueonhowtoanalyzeandensuretheconsistencyofcomparisonmatricestogetherwiththejudgmentsofthedecisionmaker.Themainobjectivesofthepresentpaperarethreefold.First,wereviewthebasicideaandmethodsusedtodefinetheconsistencyandthetransitivityofmultiplicativereciprocalmatrices,additivereciprocalmatricesandcomparisonmatriceswithfuzzyintervalandtriangularfuzzynumbers.TheexistingcontroversybehindtheapplicationsoffuzzysettheorytotheAHPintheliteratureispresented.Second,theconsistencyofthecollectivecomparisonmatricesingroupdecisionmakingbasedonAHPandfuzzyAHPisfurtheranalyzed.WepointoutthattheweakconsistencyofpreferencerelationswithfuzzynumbersinfuzzyAHPandgroupdecisionmakingshouldbeinvestigatedcomprehensively.Third,undertheconsiderationofthevaguenessintheprocessofevaluatingthejudgements,anewconceptoffuzzyconsistencyofcomparisonmatricesintheAHPisgiven.

简介：Theinformationretrievalisoneofthecommonoperationsincomputerinformationsystems.Thispaperproposesakindofinformationretrievalmethodbasedonfuzzysettheory.

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简介：Abriefsummaryonandcomprehensiveunderstandingoffuzzyoptimizationispresented.Thissummaryismadeonaspectsoffuzzymodellingandfuzzyoptimization,classificationandformulationforthefuzzyoptimizationproblems,modelsandmethods.Theimportanceofinterpretationoftheproblemandformulationoftheoptimalsolutioninfuzzysenseareemphasizedinthesummaryofthefuzzyoptimization.

简介：在珍视的模糊集合被考虑的间隔的模糊间隔值的伪巧合的概念。事实上，这个概念是在一个模糊集合的一个模糊的点的伪巧合的一个概括概念。由使用这个新概念，作者定义间隔的观点珍视半的模糊h理想包围的()；学习他们的相关性质。另外，作者也与阀值扩大模糊亚群的概念到珍视的间隔的概念模糊与在半戒指的阀值h理想。

简介：ItisanewresearchtopictocreatearationaljudgmentmatrixusingthecognitiontheorybecauseoftheconstructionofjudgmentmatrixinAHPinvolvingthedecision-maker'scognitiveactivities.Owingtothepresenceofuncertaininformationinthedecisionprocedure,theimproperuseoftheuncertaininformationwilldoubtlesscauseweightchanges.Inthispaper,weaddafeedforwardprocesspriortoconstructingthejudgmentmatrixsothatthedecisionmakercanuseboththecertainanduncertaininformationtogettheinitialuncertainroughjudgmentmatrix,andthenconvertitintoafuzzymatrix.Consequently,itwillbebetterfordecisionmakertoobtaintheroughsetoforderequivalentclassesthroughthedecisiongraph.Accordingtothequalitativeanalysis,thedecisionmakercaneasilyconstructthefinaljudgmentmatrixinstructedbytheroughsetcreatedearlier.

简介：Anrationalandeffectivefuzzychoicestrategytocompetitionandcooperation(C&C)fortwo-playercompetitivesituationsissubmittedinthispaper,whichcomputesplayer'stotalperformanceincludingbothabsoluteandrelativeperformanceandrepresentingtherelationbetweencooperationdegreeandtheobjectiveandsubjectivefactorsthattheyarefaced;analgorithmtothepracticalproblembasedonfuzzyoptimizingtechniqueisthenanalyzedstressinthefuzzysense,themethodcanbeusedfortheplayertoobtainarationalbehaviourunderthecompetitiveenvironment,somekeyfactorsforimplementationthedecisionmakingschemeareproposedtoo;finally,thesuggestedmethodisillustratedbyanumericalexample.Itprovidesusefulreferencemodelfortheplayertorealizerationaldecisionmakingstrategyundertheunceratintyenvironment.

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简介：Inthispaper,themathematicaltheoryoffuzzyprobabilityisusedfortheproblemsofrockmassmechanicsduetoexcavation,especiallymining.Amathematicalmodelisdevelopedforthemovementanddeformationofrockmassonthebasisoftheassumptionthatthedisplacementanddeformationofrockmassisafuzzyevent,andfromthismodeltheoreticalformulasarederivedforcalculatingthedisplacementofrockmassduetoexcavationThetheoriesofboththetwo-andthree-dimensionalproblemsaredevelopedandappliedtotheanalysisofengineeringproblemsinexcavation.Theagreementofthetheoreticalresultswiththefieldmeasurementsshowsthatourmodelissatisfactoryandtheformulaeobtainedarevalidandthuscanbeeffectivelyusedforpredictingthedisplacementsanddeformationsandthesafetyevaluationofthebuildingsonthegroundsurface.

简介：InthisstudyanewhybridaggregationoperatornamedasthegeneralizedintuitionisticfuzzyhybridChoquetaveraging(GIFHCA)operatorisdefined.Meantime,somedesirablepropertiesarestudied,andseveralimportantcasesareexamined.Furthermore,wedefinethegeneralizedShapleyGIFHCA(GS-GIFHCA)operator,whichdoesnotonlyoverallconsidertheimportanceofelementsandtheirorderedpositions,butalsogloballyreflectthecorrelationsamongthemandtheirorderedpositions.Inordertosimplifythecomplexityofsolvingafuzzymeasure,wefurtherdefinethegeneralizedλ-ShapleyGIFHCA(GλS-GIFHCA)operator.

简介：Inthispaper,weprovideaframeworkoffuzzylandscapetheoryanddiscussanapplicationtoallianceanalysis.Thefuzzylandscapetheorymayallowustoanalysesavarietyofaggregationprocessesinpolitical,economic,andsocialproblemsinamoreflexiblemanner.Thesimulation3resultsfortheproblemsoftheinternationalalignmentoftheSecondWorldWarinEuropeandthecoalitionformationinstandard-settingalliancesinthecaseoftheUNIXoperationsystemarecomparedwiththosegivenbytheoriginaltheory.

简介：Solvingcomplexdecisionproblemsrequirestheusageofinformationfromdifferentsources.Usuallythisinformationisuncertainandstatisticalorprobabilisticmethodsareneededforitsprocessing.However,inmanycasesadecisionmakerfacesnotonlyuncertaintyofarandomnaturebutalsoimprecisioninthedescriptionofinputdatathatisratheroflinguisticnature.Therefore,thereisaneedtomergeuncertaintiesofbothtypesintoonemathematicalmodel.Inthepaperwepresentmethodologyofmerginginformationfromimpreciselyreportedstatisticaldataandimpreciselyformulatedfuzzypriorinformation.Moreover,wealsoconsiderthecaseofimpreciselydefinedlossfunctions.Theproposedmethodologymaybeconsideredastheapplicationoffuzzystatisticalmethodsforthedecisionmakinginthesystemsanalysis.

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简介：在D操作员的概念之上造由Atanassov(1989)介绍了，这篇文章建议一条改进客观途径和一个混血儿来临到operationalizeD以便在intuitionistic的犹豫模糊数字(IFN)能进一步被精制并且描绘。数字实验被执行在文学与存在方法相比表明建议途径的特征和新奇。目的是供应一个有效方法在intuitionistic精制犹豫模糊的为更可靠、充满信心的决定帮助的评价。

简介：ThisnotepointsoutstheinappropriatenessofanaccuracyfunctionintroducedbyYe[Ye,J.(2009).Multicriteriafuzzydecision-makingmethodbasedonanovelaccuracyfunctionunderinterval-valuedintuitionisticfuzzyenvironment.ExpertSystemswithApplications,36(3):6899-6902]anditsmisleadinguseforcomparingtwointerval-valuedintuitionisticfuzzynumbers.

简介：Withthedeepenofmarketcompetition,productpricingandproductiondecisionprobleminmanyfirmshavebecomemoreandmoreimportant.Abilevelmodelisproposedtodescribethepricingandproductiondecisionswithfuzzydemandandfuzzycostparameters.Theupperlevelistodeterminetheoptimalpriceandproductionquantitywithcapacityconstraints.Usingthisinformation,thelowerlevelproblemtriestostructurearesponse(thedistributionpatternofcustomers(ormarkets))thatwillsatisfyhisdemandatminimumcost.AndaftertransformingthefuzzynumbersintothecrispvaluebyGradedMeanIntegrationRepresentationmethod,thesolutionalgorithmbasedondifferencemethodisgiven.Finally,theapplicationofthemodelanditsalgorithmareillustratedwithasimpleexample.

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简介：ThispaperextendstheTOPSIStofuzzyMCDMbasedonvaguesettheory,wherethecharacteristicsofthealternativesarerepresentedbyvaguesets.Anovelscorefunctionisproposedinordertodeterminethevaguepositive-idealsolution(VPIS)andvaguenegative-idealsolution(VNIS).Wepresentaweighteddifferenceindextocalculatethedistancebetweenvaguevalues,bymeansofwhichthedistanceofalternativestoVPISandVNIScanbecalculated.Finally,therelativeclosenessvaluesofvariousalternativestothepositive-idealsolutionarerankedtodeterminethebestalternative.Anexampleisshowntoillustratetheprocedureoftheproposedmethodattheendofthispaper.

简介：在这篇论文，我们调查决定制造者给的决定信息拿间隔的形式的组决策问题模糊偏爱关系。我们首先给一个索引测量二间隔的类似度模糊偏爱关系，并且利用类似索引检查组意见的一致性度。而且，我们使用错误繁殖原则决定聚集的矩阵的优先级向量，然后开发一条途径基于间隔组织决策模糊偏爱关系。最后，我们给一个例子说明发达途径。